Finding the Third Proportional to 5,758 and 8,296
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Solution
The third proportional to 5,758 and 8,296 is: 11,952.69
Step by Step Solution
- Step 1: Write the proportion equation
5,758 : 8,296 = 8,296 : x - Step 2: Convert to fraction form
5,758/8,296 = 8,296/x - Step 3: Cross multiply
5,758x = 8,296 × 8,296 - Step 4: Simplify right side
5,758x = 68,823,616 - Step 5: Solve for x
x = 68,823,616/5,758 - Step 6: Final answer
x = 11,952.69
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.